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23 March, 18:21

A rice store estimates that if it sells each pack of rice forxdollars, then the projected number of packssold daily is 240-10x. What is the price per pack that maximizes its daily profit?

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  1. 23 March, 18:27
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    Price per pack = 12

    Step-by-step explanation:

    The profit can be calculated as the product of the price by the quantity sold:

    P = x * (240-10x)

    P = - 10x^2 + 240x

    To find the maximum of this quadratic function, we can use the formula to find the vertix:

    x_v = - b/2a

    Where a and b are coefficients of the quadratic equation (a = - 10 and b = 240)

    x_v = - 240 / (-20) = 12

    Now, we use this value to find the maximum profit:

    P_max = - 10 * (12) ^2 + 240*12 = 1440
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